how do i solve a compound inequality

Thank you for the opportunity to help you with your question!

The secret is to solve the same way as if they are not equalities just as you would do for normal algebraic equation when solving for an unkown

eg

5x+4 > 2-x

5x+x> -2-4

6x> -6

6/6x> -6/6

x>-1

example 2

-3< 2x-1 < 5

for this you first separate it to two equations

eq 1....

-3 <2x-1

-3+1<2x

-2<2x

-1<x

eq 2

2x-1 <5

2x<5+1

2x<6

x<3

Solutions are

-1<x and x<3

joining gives

-1 <x<3

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